This research is devoted to mass conservation and CFL properties of the Finite Elements Immersed Boundary Method. We first explore an enhanced higher order scheme applied to the Finite Element Immersed Boundary Method technique introduced by Boffi and Gastaldi. This technique is based on a Pointwise (PW) formulation of the kinematic condition, and higher order elements show better conservation properties than the original scheme. A further improvement with respect to the classical PW formulation is achieved introducing a fully variational Distributed Lagrange Multiplier (DLM) formulation. Numerical experiments show that DLM is not affected by any CFL condition. Furthermore the mass conservation properties of this method are extremely competitive.
|Title of host publication
|Computational Methods for Coupled Problems in Science and Engineering V - A Conference Celebrating the 60th Birthday of Eugenio Onate, COUPLED PROBLEMS 2013
|International Center for Numerical Methods in Engineeringrimne@cimne.upc.es
|Number of pages
|Published - Jan 1 2013